Theoretical Investigation of Influence of Mechanical Stress on Magnetic Properties of Ferromagnetic/Antiferromagnetic Bilayers Deposited on Flexible Substrates
Yu-Hao Bai1,2 , Xia Wang2 , Lin-Ping Mu1 , Xiao-Hong Xu2**
1 College of Physics and Electronic Information, Shanxi Normal University, Linfen 0410042 School of Chemistry and Materials Science, Key Laboratory of Magnetic Molecules and Magnetic Information Materials (Ministry of Education), Shanxi Normal University, Linfen 041004
Abstract ：Effect of mechanical stress on magnetic properties of an exchange-biased ferromagnetic/antiferromagnetic bilayer deposited on a flexible substrate is investigated. The hysteresis loops with different magnitudes and orientations of the stress can be classified into three types. The corresponding physical conditions for each type of the loop are deduced based on the principle of minimal energy. The equation of the critical stress is derived, which can judge whether the loops show hysteresis or not. Numerical calculations suggest that except for the magnitude of the mechanical stress, the relative orientation of the stress is also an important factor to tune the exchange bias effect.
收稿日期: 2016-03-25
出版日期: 2016-08-31
:
75.30.Gw
(Magnetic anisotropy)
75.60.Jk
(Magnetization reversal mechanisms)
75.70.-i
(Magnetic properties of thin films, surfaces, and interfaces)
[1] Meiklejohn W H and Bean C P 1956 Phys. Rev. 102 1413 [2] Dieny B et al 1991 Phys. Rev. B 43 1297 [3] Heim D et al 1994 IEEE Trans. Magn. 30 316 [4] Nogués J and Schuller I K 1999 J. Magn. Magn. Mater. 192 203 [5] Stamps R 2000 J. Phys. D 33 R247 [6] Kiwi M 2001 J. Magn. Magn. Mater. 234 584 [7] Nogues J et al 2005 Phys. Rep. 422 65 [8] Giri S et al 2011 J. Phys.: Condens. Matter 23 073201 [9] O'Grady K et al 2010 J. Magn. Magn. Mater. 322 883 [10] Shi Z et al 2014 Chin. Phys. B 23 027503 [11] Chung S H et al 2005 Phys. Rev. B 71 214430 [12] Tillmanns A E and Blachowicz T 2011 J. Appl. Phys. 109 083923 [13] Jiménez E et al 2009 Appl. Phys. Lett. 95 122508 [14] Mewes T et al 2002 Phys. Rev. B 65 224423 [15] Geshev J et al 2008 Phys. Rev. B 77 132407 [16] McCord J, Hamann C, Sch?fer R, Schultz L and Mattheis R 2008 Phys. Rev. B 78 094419 [17] Dijken S V, Santo G D and Poelsema B 2001 Phys. Rev. B 63 104431 [18] Rodríguez-Suárez R L, Vilela-Le?o L H, Landeros P and Azevedo A 2012 Appl. Phys. Lett. 100 242406 [19] Zhang Y, Zhan Q F, Zuo Z G, Liu Y W, Yu Y, Wang J, Wang B M and Li R W 2015 Phys. Rev. B 91 174411 [20] Yang C C, Zhang C, Wang F L, Zhao Z, Jiang C J and Xue D S 2015 Appl. Phys. A 120 1159 [21] Brooks M, Summers E, Restorff J B and Wun-Fogle M 2012 J. Appl. Phys. 111 07A907 [22] Mathews M, Jansen R, Rijnders G, Lodder J C and Blank D H A 2009 Phys. Rev. B 80 064408 [23] Liedke M O, Liedke B, Keller A, Hillebrands B and Mücklich A 2007 Phys. Rev. B 75 220407(R) [24] Dai G H, Zhan Q F, Liu Y W, Chen B and Li R W 2012 Appl. Phys. Lett. 100 122407 Dai G H, Zhan Q F, Liu Y W, Chen B and Li R W 2013 J. Appl. Phys. 114 173913 [25] Yu Y, Zhan Q F, Wei J W, Wang J B, Dai G H, Xie S H, Wang B M and Li R W 2015 Appl. Phys. Lett. 106 162405 [26] Tang Z H, Wang B M, Yang H L, Liu Y W, Zhan Q F, Zhou Y C, Wang J L and Li R W 2014 Appl. Phys. Lett. 105 103504 [27] Zhang H, Li Y Y, Yang M Y, Zhang B, Yang G, Wang S G and Wang K Y 2015 Chin. Phys. B 24 077501 [28] Chen A, Zhao Y, Li P, Peng R, Miao P, Cai J W and Nan C W 2016 Adv. Mater. 28 363 [29] Yang C C, Wang F L, Zhang C, Zhou C and Jiang C J 2015 J. Phys. D: Appl. Phys. 48 435001 [30] Li P S, Chen A T, Li D L, Zhao Y G, Zhang S, Yang L F, Liu Y, Zhu M H, Zhang H Y and Han X F 2014 Adv. Mater. 26 4320 [31] Liu M, Lou J, Li S D and Sun N X 2011 Adv. Funct. Mater. 21 2593 [32] Dong C H, Guo D W, Jiang C J, Jia C L and Xue D S 2014 Appl. Phys. Lett. 104 062403 [33] Zhang X S, Zhan Q F, Dai G H, Liu Y W, Zuo Z G, Yang H L, Chen B and Li R W 2013 Appl. Phys. Lett. 102 022412 [34] Han D H, Zhu J G, Judy J H and Sivertsen J M 1997 Appl. Phys. Lett. 70 664 [35] Han D H, Zhu J G, Judy J H and Sivertsen J M 1997 J. Appl. Phys. 81 4519 [36] Bai Y H, Yun G H and Bai N 2009 Acta Phys. Sin. 58 4962 (in Chinese) [37] Guo Z Z 2011 Solid State Commun. 151 116 Guo Z Z 2013 Acta Phys. Sin. 62 057501 (in Chinese) [38] Camarero J, Sort J, Hoffmann A, Garcia-Martin J M and Dieny B 2005 Phys. Rev. Lett. 95 057204 [39] Bai Y H, Yun G H and Bai N 2009 J. Appl. Phys. 106 063919 Bai Y H, Yun G H and Bai N 2010 J. Appl. Phys. 107 033905 [40] Yang H P and Bai Y H 2014 Physica B 433 12 Yang H P and Bai Y H 2014 Chin. Phys. B 23 067503 [41] Radu F, Westphalen A, Theis-Br?hl K and Zable H 2006 J. Phys.: Condens. Matter 18 L29 [42] Oliveira B, Rodriguez-Suarez R, Michea S and Denardin J 2014 J. Appl. Phys. 116 033910
[1]
.
[2]
.
[3]
.
[4]
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[5]
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[6]
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[7]
.
[8]
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[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2016, Vol. 33 
